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Unformatted text preview: Assignment 2 Section 12.4 Problem 2: Problem 8: The contour diagram in this problem does not represent a linear function. Problem 10: the linear function is: ? = 2 1 2 ? 2 3 ? Problem 18: A formula for is = 4.2 + 0.9 ? 120 + 1.6 8 The formula does not make sense for low weights or speeds. It means > 0 . Problem 22: The formula for this linear function is ? , ? = 4 + 2 ? ? Section 12.5 Problem 2: (a)(II) (b)(I) Problem 4: ? 2 + ? 2 + ? 2 = 4 Problem 12: Yes. ? = ? , ? = ? 2 + 3 ? 2 Problem 22: since the square root function is nonnegative, ? . Setting ? = 1 ? 2 ? 2 and squaring both sides leads to ? 2 + ? 2 + ? 2 = 1 , which is the equation for a sphere of radius 1. The graph of the function includes only those points where ? , that is, the upper hemisphere of radius 1, centered at the origin. If we take ? , ? , ? = ? , ? ? = 1 ?...
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This note was uploaded on 03/21/2010 for the course AMS 261 taught by Professor Fortmann during the Fall '08 term at SUNY Stony Brook.
 Fall '08
 FORTMANN

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